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Finding the Third Proportional to 331,397 and 686,578

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Solution

The third proportional to 331,397 and 686,578 is: 1,422,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,397 : 686,578 = 686,578 : x
  2. Step 2: Convert to fraction form
    331,397/686,578 = 686,578/x
  3. Step 3: Cross multiply
    331,397x = 686,578 × 686,578
  4. Step 4: Simplify right side
    331,397x = 471,389,350,084
  5. Step 5: Solve for x
    x = 471,389,350,084/331,397
  6. Step 6: Final answer
    x = 1,422,430.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.